22 citations · 22 across the 3 of their papers we have counts for
3 papers
math.NA2026
Hessian-recovery-based C0 finite element methods for non-divergence form elliptic equations
Minqiang Xu, Boying Wu, Lei Zhang
A Hessian-recovery-based C0 finite element framework is proposed for second-order elliptic equations in non-divergence form. The construction is based on a direct approximation of…
math.NA2024
A Random Integration Algorithm for High-dimensional Function Spaces
Liang Chen, Minqiang Xu, Haizhang Zhang
We introduce a novel random integration algorithm that boasts both high convergence order and polynomial tractability for functions characterized by sparse frequencies or rapidly d…
math.NA2018★ 22 cited
Hessian recovery based finite element methods for the Cahn-Hilliard Equation
Minqiang Xu, Hailong Guo, Qingsong Zou
In this paper, we propose a novel recovery based finite element method for the Cahn-Hilliard equation. One distinguishing feature of the method is that we discretize the fourth-ord…